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Finding the Fourth Proportional to 9,641.56, 13,305.24 and 5,450.56

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Solution

The fourth proportional to 9,641.56, 13,305.24 and 5,450.56 is: 7,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.56 : 13,305.24 = 5,450.56 : x
  2. Step 2: Convert to fraction form
    9,641.56/13,305.24 = 5,450.56/x
  3. Step 3: Cross multiply
    9,641.56x = 13,305.24 × 5,450.56
  4. Step 4: Simplify right side
    9,641.56x = 72,521,008.93
  5. Step 5: Solve for x
    x = 72,521,008.93/9,641.56
  6. Step 6: Final answer
    x = 7,521.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.